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Finding the Fourth Proportional to 1,001.46, 1,382.14 and 628.46

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Solution

The fourth proportional to 1,001.46, 1,382.14 and 628.46 is: 867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.46 : 1,382.14 = 628.46 : x
  2. Step 2: Convert to fraction form
    1,001.46/1,382.14 = 628.46/x
  3. Step 3: Cross multiply
    1,001.46x = 1,382.14 × 628.46
  4. Step 4: Simplify right side
    1,001.46x = 868,619.70
  5. Step 5: Solve for x
    x = 868,619.70/1,001.46
  6. Step 6: Final answer
    x = 867.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.